Verify that (4,1) on the curve x + /xy = 6 and find the lines that are tangent and normal to the curve at the given point.

Q: Find the slope of the tangent line to the curve - 3x² + 2xy + 2y 3 - 38 - at the point (4, 1).

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Q: Find the condition that the line ax+by=1 may be normal to the curve an-1y=xn

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Q: Find the slope of the tangent line to the curve 2x + 2xy + 2y = 32 %3D at the point (-4, 2).

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Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

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Q: Calculate the equation of the tangent line to the curve r2 +ry+3r+2y-1 = 1 at the point (0, 1).

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Q: Find the tangent line at (-1,3) to the curve y* – 2xy – 27 =0. ,3 |

A: Given- y4-2x2y3-27=0 To find- The equation of the tangent at the point -1,3 to the above curve.…

Q: Find the slope of the tangent line to the curve -2x^2-3xy-3y^3 = -246` %3D at the point `( 3,4).…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(x² + y²)° = 25(a² – y²) at the…

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Q: Find the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: Verify that (2,3) is on the curve x²+xy-y²=1 and a. find the line that is tangent to the curve at…

A: Given curve, x^2+xy-y^2=1

Q: Find the slope of the tangent line to the curve - 3x + lay+ 3y = 199 | %3D | at the point (1, – 4).

A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

Q: Find the equation of the tangent line  x2y-y3 + 6x= 8  at the (3, -2)

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Q: What is the slope of the tangent line to the curve 3x^3y^2−2y^3=−4 at the point (1,2)

A: To find the slope of the tangent line we need y' 3x3y2−2y3=−49x2y2+3x3(2y)y' - 6y2y'=0 [product…

Q: Find the slope of the tangent line to the curve ((8x+9y)^(1/2))+((2xy)^(1/2))=7 at the point (2,1)

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Q: On the same axes, plot the curve y = 1x, the line y = x/8, and the tangent line to y = 1x that is…

A: Given curve is y=x. Let x,y be any point on the curve. Differentiate function with respect to x.…

Q: Find the equation of the tangent line to the curve y = x+5x* which is passing through point (1, 3):*…

A: Given : Curve  y = x + 5x2 Point 1,3   To find : The equation of the tangent line to the given…

Q: define the equation of the tangent line to the curve x^2-3xy+y^2-4x+2y+1=0 at the point (1,-1)

A: Given- The curve is x2-3xy+y2-4x+2y+1=0. To Find- The equation of the tangent line to the above…

Q: At what point is the tangent line to the curve y3=2x2 perpendicular to the line x+2y-2=0? P= (?,?)

A: We have to find the point

Q: Suppose a curve is defined by the equati on y2 = x*(2- x). What is the equation of the line tangent…

A: Given curve

Q: Find the slope of the tangent line to the curve 2x? + 3xy + 2y° = 25 at the point (– 3, – 1). - -

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Q: Find the tangent line of the curve (- 31,1-2)at the point (2,14)and estimate y0 so that (2.1,y0)is…

A: given curve is                                                                     x=t3-3ty=t4-2…

Q: at what point is the tangent line y3=2x2 perpendicular to the line x-y-1=0? P=(?,?)

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Q: Find the equation of the tangent line to x + y = 9 %3D at the point (2, v5)

A: Equation of tangent to any curve y = f(x) at a given point ( x1, y1 ) is given by           ( y - y1…

Q: Find the​ x-coordinates of all points on the curve y = (-x^2+4x−3)^3 with a horizontal tangent…

A: We know the slope of the tangent where it is horizontal is 0. we will need to find the derivative of…

Q: write the equati on of the tangent and normal line line of the curve. huow your soution 2 2 4. f CX)…

A: Given: fx=x3-3x+4 at 2,6

Q: Find the slope of the tangent line to the curve −x^2−3xy+3y^3=−7 at the point (−1,−1)

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Q: Find the equation of the tangent line to the curve y=1-x² that is parallel to the line 2x-4y=8

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Q: Find equations of the tangent lines to the curve х — 1 x + 1 that are parallel to the line x – 2y =…

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Q: At what point on the curve y = 2x²– 3x – 1 is its tangent parallel to the line y = 5x + 2?

A: Given curve is : y=2x2-3x-1 And the given line is : y=5x+2 We need to find the point on the curve at…

Q: Determine the equation of the line tangent to the curve   at the point (-1,1) and reestablish a…

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Q: Find the slope of the tangent line to the curve -2x^2-3xy-3y^3 = -246 at the point ` ( 3,4 )`.

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Q: Find the slope of the tangent line to the curve 4x^2+1xy+3y^3=240 at the point (3,4)

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Q: Find the slope of the tangent line to the curve 4x^2-3xy+1y^3=26 at the point (3,2). Slope =

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Solution ) given f(x) = y = 2x3 + 3x2 - 12x + 1 f'(x) = 2 × 3 × x3 - 1 + 3 × 2 × x2 - 1 - 12 + 0…

Q: Find the equation of the tangent and normal line using the stipulated conditions   1.) y = x2 - 5x…

A: Given the equation is y = x2 - 5x The point of intersection line y=6 The equation of the tangent is…

Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

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Q: Find all points on the curve y = x³ + 2x² - 6x + 5 where the tangent is parallel to the line 2x + y…

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Q: Find the slope of the tangent line to the curve -3x2 +3xy- 4y = - 247 %3D at the point (1, 4).

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Q: Find the slope of the tangent line to the curve `-3 x^2 + 3 xy + 4 y^3 = 8` at the point (4,2)`.…

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Q: Find the slope of the tangent line to the curve defined by 2.- 6zy – 9y? - -622 at the point (1,8).…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

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Q: Find the slope of the tangent line to the curve −2x^2+xy+2y^3=−8 at the point (−3,2)

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equations of the tangent and the normal at the point indicated. y = x2 - 2x at its…

A: Given that - y = x2 - 2x at its points of intersections with the line y = 3

Q: Find the point on the curve y = x³ + x2 – 1 where the tangent is perpendicular to the line y = -x

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Q: calculate the slope of the tangent line to the curve 3x3y2-2y3=-4 at the point (1,2)

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Q: . Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x – y…

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Q: Find the slope of the tangent line to the curve y = x²+4x+7 at the point (1, ). 7x+2

A: We can find the slope to the tangent to the curve at the given point as below.

Q: Find the tangent line at (-1,3) to the curve y* – 2x²y' – 27=0.

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Q: Find the slope of the tangent line to the curve – 4x - 422 3ry + 4y° = 14 - at the point (- 3, 2).

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Q: What is the slope of the tangent line to the curve 3y- 2-6-2xy at the point (3, 2)?

A: Given,           3y2-2x2=6-2xy     To find slope, let's differentiate. wrt.x           3.2y…